Home / 2,145.84-3,210.66-1,416.30

Finding the Fourth Proportional to 2,145.84, 3,210.66 and 1,416.30

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Solution

The fourth proportional to 2,145.84, 3,210.66 and 1,416.30 is: 2,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.84 : 3,210.66 = 1,416.30 : x
  2. Step 2: Convert to fraction form
    2,145.84/3,210.66 = 1,416.30/x
  3. Step 3: Cross multiply
    2,145.84x = 3,210.66 × 1,416.30
  4. Step 4: Simplify right side
    2,145.84x = 4,547,257.76
  5. Step 5: Solve for x
    x = 4,547,257.76/2,145.84
  6. Step 6: Final answer
    x = 2,119.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.